Details

Time bar (total: 22.2s)

sample29.0ms

Algorithm
intervals
Results
12.0ms322×body80valid

simplify8.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1229
2469
31199
42289
53589
65079
710089
837839
done50019

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
8.6b
(/ (* x (+ (- y z) 1.0)) z)

rewrite184.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u flip3-+ div-exp prod-exp cbrt-unprod flip-+ log1p-expm1-u associate-/l/ distribute-lft-out add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- unswap-sqr
Counts
2 → 51
Calls
2 calls:
114.0ms
(* x (+ (- y z) 1.0))
67.0ms
(/ (* x (+ (- y z) 1.0)) z)

series120.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(* x (+ (- y z) 1.0))
69.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify3.3s

Counts
57 → 57
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
098645
1262625
2923531
34857520
done5000520

prune188.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (/ x z) (+ y 1.0)) x)
1.9b
(* (/ x z) (+ y 1.0))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×*-un-lft-identity associate-*l*
11×add-cube-cbrt
10×times-frac
7×add-exp-log add-cbrt-cube
4×pow1 associate-*r* add-log-exp
3×prod-diff
2×distribute-rgt-in expm1-log1p-u frac-times distribute-lft-in flip3-+ associate-*r/ prod-exp associate--l+ cbrt-unprod flip-+ log1p-expm1-u unswap-sqr
1×cbrt-undiv sub-neg flip3-- fma-neg diff-log div-exp pow-prod-down associate-*l/ *-commutative flip-- div-inv distribute-lft-out
Counts
2 → 61
Calls
2 calls:
29.0ms
(- (* (/ x z) (+ y 1.0)) x)
46.0ms
(* (/ x z) (+ y 1.0))

series162.0ms

Counts
2 → 6
Calls
2 calls:
86.0ms
(- (* (/ x z) (+ y 1.0)) x)
76.0ms
(* (/ x z) (+ y 1.0))

simplify1.8s

Counts
67 → 67
Iterations

Useful iterations: done (1.8s)

IterNodesCost
0133793
1411709
21290654
done5000648

prune214.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
3.1b
(/ x (/ z (+ (- y z) 1.0)))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
138×times-frac
70×add-sqr-sqrt add-cube-cbrt
32×distribute-lft-out
26×associate-/r*
16×distribute-lft-out--
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
Counts
2 → 143
Calls
2 calls:
45.0ms
(/ z (+ (- y z) 1.0))
82.0ms
(/ x (/ z (+ (- y z) 1.0)))

series128.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(/ z (+ (- y z) 1.0))
57.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify1.4s

Counts
149 → 149
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02042436
14492269
215122172
done50012149

prune464.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ 1.0 y) z)
0.0b
(- (* x (/ (+ 1.0 y) z)) x)
3.5b
(* x (/ (+ 1.0 y) z))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
27×add-sqr-sqrt
25×times-frac
22×add-cube-cbrt
16×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out
5×pow1 add-log-exp
4×associate-/l*
3×expm1-log1p-u associate-*l* prod-diff associate-/r* log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×sub-neg flip3-- frac-2neg flip3-+ fma-neg diff-log associate-*r/ pow-prod-down clear-num *-commutative flip-- flip-+
Counts
3 → 90
Calls
3 calls:
39.0ms
(/ (+ 1.0 y) z)
31.0ms
(- (* x (/ (+ 1.0 y) z)) x)
56.0ms
(* x (/ (+ 1.0 y) z))

series237.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(/ (+ 1.0 y) z)
76.0ms
(- (* x (/ (+ 1.0 y) z)) x)
98.0ms
(* x (/ (+ 1.0 y) z))

simplify3.3s

Counts
99 → 99
Iterations

Useful iterations: done (3.3s)

IterNodesCost
01431092
1330998
2905916
33014890
done5001884

prune340.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes79.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1109
done109

end0.0ms

sample1.2s

Algorithm
intervals
Results
580.0ms10007×body80valid